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Mary Palmquist, a Wall Street securities analyst, wants to determine the relationship

between Chile’s gross domestic product (GDP) and the profits (after taxes)

of the Carlton Company. She obtains the following data concerning each variable

Mary Palmquist, a Wall Street securities analyst, wants to determine the relationship between...

What are the least-squares estimates of the intercept and slope of

the true regression line, where Carlton’s profits are the dependent

variable and GDP is the independent variable? b. On the average, what effect does a $1 increase in gross domestic product seem to have on the profits of Carlton?

c. If Ms. Palmquist feels that next year’s GDP will be $2 trillion, what

forecast of Carlton’s profits will she make on the basis of the

regression? d. What is the coefficient of determination between the nation’s gross

domestic product and Carlton’s profits? e. Do the results obtained in previous parts of this problem prove that changes in Carlton’s profits are caused by changes in the gross domestic

product? Can we be sure that Carlton’s profit is a linear function of the

GDP? What other kinds of functions might be as good or better?

f. If you were the financial analyst, would you feel that this regression line

was an adequate model to forecast Carlton’s profits? Why or why not?

 

 
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In the manufacture of cloth, the weft packages should not disintegrate unduly

during weaving. A direct measure of the tendency to disintegrate exists, but

it is laborious and uneconomical to carry out. In addition, there are indirect

measures based on laboratory tests. Managers of the Brockway Textile Company

want to determine the extent to which one of these indirect measures is

correlated with the direct measure. If the correlation is high enough, Brockway

managers believe that they may be able to use the indirect measure instead of

the direct measure. An experiment was carried out in which both the direct and indirect measures

of the tendency to disintegrate were calculated for 18 lots of packages.

The results follow

In the manufacture of cloth, the weft packages should not disintegrate unduly during weaving. A...

What linear regression line would you use to predict the value of the

direct measure on the basis of knowledge of the indirect measure?

. On the basis of your findings, write a brief report indicating the factors

to be weighed in deciding whether to substitute the indirect measure for

the direct measure.

 

 
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The Kingston Company hires a consultant to estimate the demand function

for its product. Using regression analysis, the consultant estimates the demand

function to be log Q = 2.01 – 0.148 log P + 0.258 log Z

where Q is the quantity demanded (in tons) of Kingston’s product, P is the

price (in dollars per ton) of Kingston’s product, and Z is the price (in dollars

per ton) of a rival product. a. Calculate the price elasticity of demand for Kingston’s product.

b. Calculate the cross elasticity of demand between Kingston’s product and

the rival product. c. According to the consultant, R2 = 0.98 and the standard error of

estimate is 0.001. If the number of observations is 94, comment on the

goodness of fi t of the regression.

 

 
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Richard Branson Shoots for the Moon The Virgin Group is the umbrella for a variety of business ventures ranging from air travel to entertainment. With close to 200 companies in over 30 countries, it is one of the largest companies in the world. At the head of this huge organization is Richard Branson. Branson founded Virgin over 30 years ago and has built the organization from a small student magazine to the multibillion-dollar enterprise it is today. Branson is not your typical CEO. Branson’s dyslexia made school a struggle and sabotaged his performance on standard IQ tests. His teachers and tests had no way of measuring his greatest strengths—his uncanny knack for uncovering lucrative business ideas and his ability to energize the ambitions of others so that they, like he, could rise to the level of their dreams. Richard Branson’s true talents began to show themselves in his late teens. While a student at Stowe School in England in 1968, Branson decided to start his own magazine, Student. Branson was inspired by the student activism on his campus in the 1960s and decided to try something different. Student differed from most college newspapers or magazines; it focused on the students and their interests. Branson sold advertising to major corporations to support his magazine. He included articles by ministers of Parliament, rock stars, intellectuals, and celebrities. Student grew to become a commercial success. In 1970 Branson saw an opportunity for Student to offer records cheaply by running ads for mail-order delivery. The subscribers to Student flooded the magazine with so many orders that his spin-off discount music venture proved more lucrative than the magazine subscriptions. Branson recruited the staff of Student for his discount music business. He built a small recording studio and signed his first artist. Mike Oldfield recorded “Tubular Bells” at Virgin in 1973; the album sold 5 million copies, and Virgin Records and the Virgin brand name were born. Branson has gone on to start his own airline (Virgin Atlantic Airlines was launched in 1984), build hotels (Virgin Hotels started in 1988), get into the personal finance business (Virgin Direct Personal Finance Services was launched in 1995), and even enter the cola wars (Virgin Cola was introduced in 1994). And those are just a few highlights of the Virgin Group—all this while Branson has attempted to break world speed records for crossing the Atlantic Ocean by boat and by hot air balloon. As you might guess, Branson’s approach is nontraditional—he has no giant corporate office or staff and few if any board meetings. Instead he keeps each enterprise small and relies on his skills of empowering people’s ideas to fuel success. When a flight attendant from Virgin Airlines approached him with her vision of a wedding business, Richard told her to go do it. He even put on a wedding dress himself to help launch the publicity. Virgin Brides was born. Branson relies heavily on the creativity of his staff; he is more a supporter of new ideas than a creator of them. He encourages searches for new business ideas everywhere he goes and even has a spot on the Virgin Web site called “Got a Big Idea?” In December 1999 Richard Branson was awarded a knighthood in the Queen’s Millennium New Year’s Honours List for “services to entrepreneurship.” What’s next on Branson’s list? He recently announced that Virgin was investing money in “trying to make sure that, in the not-too-distant future, people from around the world will be able to go into space.” Not everyone is convinced that space tourism can become a fully-fledged part of the travel industry, but with Branson behind the idea it just might fly. 1. Would you classify Richard Branson as a manager or a leader? What qualities distinguish him as one or the other? 2. As mentioned earlier in this chapter, followers are part of the leadership process. Describe the relationship between Branson and his followers. 3. Identify the myths of leadership development that Richard Branson’s success helps to disprove

 

 
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